pith. sign in
Pith Number

pith:ACS4C26K

pith:2012:ACS4C26KPBQE4DKAW5PA7YPJCP
not attested not anchored not stored refs pending

Configuration types and cubic surfaces

B. Harbourne, E. Guardo

arxiv:1204.3015 v1 · 2012-04-13 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ACS4C26KPBQE4DKAW5PA7YPJCP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T03:57:54.182455Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

00a5c16bca78604e0d40b75e0fe1e913cdf594456df8755b0541fd652158d7c7

Aliases

arxiv: 1204.3015 · arxiv_version: 1204.3015v1 · doi: 10.48550/arxiv.1204.3015 · pith_short_12: ACS4C26KPBQE · pith_short_16: ACS4C26KPBQE4DKA · pith_short_8: ACS4C26K
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ACS4C26KPBQE4DKAW5PA7YPJCP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 00a5c16bca78604e0d40b75e0fe1e913cdf594456df8755b0541fd652158d7c7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4215a4ee93ec2baf6db28a8fdf37d90cf9303c935982b43a3d649e49d8c94296",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-13T14:47:54Z",
    "title_canon_sha256": "1557b9580d56a4573fa7e530e152f696de1ff97c086d40e60f8d881927da6511"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3015",
    "kind": "arxiv",
    "version": 1
  }
}